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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">kaz44</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Университета Шакарима. Серия технические науки</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Shakarim University. Technical Sciences</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2788-7995</issn><issn pub-type="epub">3006-0524</issn><publisher><publisher-name>«Шәкәрім университеті» КеАҚ</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">kaz44-8</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ТЕХНИЧЕСКИЕ НАУКИ</subject></subj-group></article-categories><title-group><article-title>ЗАКОН НОРМАЛЬНОГО РАСПРЕДЕЛЕНИЯ В МАТЕМАТИЧЕСКОЙ СТАТИСТИКЕ</article-title><trans-title-group xml:lang="en"><trans-title>THE LAW OF NORMAL DISTRIBUTION IN MATHEMATICAL STATISTICS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Женісбекова</surname><given-names>Ж. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhenisbekova</surname><given-names>Z.</given-names></name></name-alternatives><bio xml:lang="ru"><p>магистрант</p><p>г. Семей</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Университет им. Шакарима<country>Казахстан</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>20</day><month>09</month><year>2020</year></pub-date><volume>0</volume><issue>3(91)</issue><fpage>23</fpage><lpage>27</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Женісбекова Ж.Е., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Женісбекова Ж.Е.</copyright-holder><copyright-holder xml:lang="en">Zhenisbekova Z.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://tech.vestnik.shakarim.kz/jour/article/view/8">https://tech.vestnik.shakarim.kz/jour/article/view/8</self-uri><abstract><p>В настоящее время трудно назвать сферу образования где не используются методы математической статистики. Даже очень далеко от математики, анатомия человека использует математическую статистику. Поэтому математическая статистика во многих отраслях, таких как химия, инженерия, биология (медицина), лингвистика, психология, производство и т.д. имеет широкое применение. Математическая статистика наука, изучающая закономерности общественной жизни с помощью численных методов. Закон нормального распределения (Гаусс) занимает важное место в теории и практике математической статистики. Поэтому целью данной статьи является сочетание процессов, происходящих в жизни общества, методом математической статистики с законом распределения Гаусса. В статье подробно разъяснены законы нормального распределения и стандартного нормального распределения, приведены примеры расчета.</p></abstract><trans-abstract xml:lang="en"><p>Currently, it is difficult to name the field of education, which does not use the methods of mathematical statistics. Even very far from mathematics, like human anatomy, it uses mathematical statistics. Therefore, mathematical statistics in many industries, such as chemistry, engineering, biology (medicine), linguistics, psychology, manufacturing, etc. b is widely used in industries. Mathematical statistics is a science that studies the laws of social life using numerical methods. The law of normal distribution (Gauss) occupies an important place in the theory and practice of mathematical statistics. Therefore, the purpose of this article is to combine the processes taking place in the life of society, the method of mathematical statistics with the law of Gauss distribution. The article explains in detail the laws of normal distribution and standard normal distribution with solved examples.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математическая статистика</kwd><kwd>нормальное распределение</kwd><kwd>нормированное нормальное распределение</kwd><kwd>среднеквадратическое отклонение</kwd><kwd>математическое ожидание</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical statistics</kwd><kwd>normal distribution</kwd><kwd>standard normal distribution</kwd><kwd>standard deviation</kwd><kwd>expectation</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Вентцель, Е.С. Теория вероятностей:Учеб.для вузов.-5-е изд. стер-М.:Высш.шк.,1998. − 576 с.</mixed-citation><mixed-citation xml:lang="en">Вентцель, Е.С. Теория вероятностей:Учеб.для вузов.-5-е изд. стер-М.:Высш.шк.,1998. − 576 с.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Frost, J. Normal distribution in Statistics.2018. RL: https://statisticsbyjim.com/basics/normal-distribution/</mixed-citation><mixed-citation xml:lang="en">Frost, J. Normal distribution in Statistics.2018. RL: https://statisticsbyjim.com/basics/normal-distribution/</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Larsen, R.J., Marx, M.L. An introduction to Mathematical Statistics and its Applications, 5 th edition. 2012. − 768 p.</mixed-citation><mixed-citation xml:lang="en">Larsen, R.J., Marx, M.L. An introduction to Mathematical Statistics and its Applications, 5 th edition. 2012. − 768 p.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Williams, R. Normal distribution. University of Notre Dame. URL: https://www3.nd.edu/~rwilliam/stats1/x21.pdf</mixed-citation><mixed-citation xml:lang="en">Williams, R. Normal distribution. University of Notre Dame. URL: https://www3.nd.edu/~rwilliam/stats1/x21.pdf</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
